At a concert,
320 of the tickets were sold at full price,
58 of the tickets sold at 25% discount, and the remaining 630 tickets were given away for free. Each ticket was sold at $40. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
6 u |
25 u |
9 u |
Value |
$40 |
$30 |
$0 |
Total value |
240 u |
750 u |
0 u |
Fraction of the tickets given free
= 1 -
320 -
58= 1 -
640 -
2540 =
940 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 40
=
75100 x 40
= $30
Number of tickets given for free = 9 u
9 u = 630
1 u = 630 ÷ 9 = 70
Total amount collected from the sales of the ticket
= 240 u + 750 u
= 990 u
= 990 x 70
= $69300
Answer(s): $69300